JF Nadeau
\n30\/09\/2022
\nQuestion 1
\nA) Given your knowledge of the dimensions of the tables U of uses and resources V, construct the table of uses and
\nresources in the R software .
\n**DATE OF DELIVERY:** October 20, 2022
\nD) Using the appropriate summation vector i , construct the total output vector x of each of the industries.
\nFigure 1: Table of uses and resources
\nConsider a commodity input-output model by industry with m = 3 commodities and n = 2 industries.
\nE) What is the value added in each industrial sector?
\nC) Calculate the final demand vector e for each of the commodities.
\n1
\nG) Given your answer in F), what is the total output of each sector that is needed to satisfy a final demand of $1 for
\ncommodity 2?
\nB) Using the appropriate summation vector i , construct the total output vector q of each of the commodities.
\n** Submit only your R code, with your answers inserted as comments **
\nF) Find, for this model, the table of total industry requirements by commodity.
\nTeam duty 1
\nMachine Translated by Google
\nQuestion 3
\nQuestion 2
\nA1
\nand the matrix of technical coefficients
\n\u00ff
\n\u00ff
\n\u00ff
\nLet us first assume that the household sector is part of exogenous final demand.
\nNow assume that we close this model with respect to households, i.e. households are no longer considered part of
\nexogenous final demand.
\nP =
\nf) Calculate the new inter-industry transaction matrix resulting from the change in final demand for the output of sector
\n2 described in d). By how much did labor income in sector 1 increase as a result of the change in final demand?
\n| {z} 2
\n\u00d7 2
\n| {z} 3
\n\u00d7 3
\n0.25 0.3
\n0.25 0.25 0.4
\n\u00ff
\na) Build the interindustrial transaction matrix Z0
\n| {z} 3
\n\u00d7 3
\nGiven the following data on an economy with 2 industrial sectors
\n0.15 0.20 0.5
\nc) Build the inter-industry transaction matrix Z1
\ng) Consider the matrix P which describes the proportion of wages in each industrial sector (including the household
\nsector) that goes to each of the 4 major categories of workers in this economy
\n0.35 0.25 0.1
\n2
\nb) Now assume that the other final demand for the output of sector 2 increases by 20 percent. What will be the
\nrequired change in the production of Sector 1 to meet this additional demand?
\nd) Now assume that the other final demand for the output of sector 2 increases by 20 percent. What will be the
\nrequired change in the production of sector 1 to satisfy this additional demand, given that the households are now
\nconsidered endogenous to the response of the model?
\n0
\ne) Is your answer obtained in d) different from that obtained in b)? How do you explain this result, considering that the
\nchange in final demand is the same in both questions?
\ncorresponding
\nConsider a commodity input-output model by industry with m = 4 commodities and n = 3 industries. We know the total
\noutput vector for each commodity q,
\n| {z} 2
\n\u00d7 2
\n\u00ff
\n\u00ff
\nwhich correspond to the closed model for households.
\nIdentify the wages received by each category of worker in each sector, following the change in final demand described
\nin d). For example, how much the category 1 worker receives in salary in sector 1, how much he receives in sector 2
\nand how much he receives from households.
\n\u00ff
\n\u00ff
\nand the matrix of technical coefficients A0
\nMachine Translated by Google
\nQuestion 4
\n## [4,] 0.11009174 0.05704698 0.23809524
\nyt = A \u00b7 k
\n[,2] [,3] [,4]
\n## [1,] 1.1640420 0.07748173 0.08242163 0.2501780
\n=
\n## [1,] 107
\n## [3,] 0.09174312 0.04362416 0.06547619
\n(1)
\n## [1,] 0.18348624 0.04026846 0.10714286
\n4. Value added in each industrial sector will
\nq
\n##
\nB
\n[,1]
\nConsider the Solow model composed of the following equations
\n3
\n=
\n##
\n## [4,] 0.18984654 0.10989512 0.12006687 1.3283342
\nFinally, the matrix B
\n[,1]
\n1. The U job board
\nis given by
\n##
\n## [3,] 149
\n## [2,] 0.09873774 1.13084469 0.13083104 0.1285170
\n## [3,] 0.1821774 0.14792980 0.19733828 1.1864668
\nD
\n(2)
\n## [1,] 1.24603615 0.07675608 0.08144848 0.1859430
\n## [2,] 149
\n5. the market share matrix D,
\n[,1]
\n| {z}
\n[,1]
\n[,2] [,3] [,4]
\n## [2,] 0.04587156 0.10067114 0.07142857
\n[,3]
\n3. The total industrial production of each industry x
\nit = s \u00b7 yt
\nLcc
\nand the table of total industry requirements by convenience, which we represent by Lic
\nLic
\n[,2]
\nthe table of total requirements convenience by convenience, which we represent by Lcc,
\n2. The Resource Table V
\nUsing this information, calculate
\n| {z}
\n## [4,] 170
\n##
\n## [3,] 0.13273021 0.06737473 1.06942959 0.1146312
\nB
\n(3)
\n## [2,] 0.3211313 1.15945909 1.12201606 0.3207806
\nthat
\nqj
\nm\u00d7n xj
\nt\u00ff1
\nkt = it + (1 \u00ff \u00ff)kt\u00ff1
\nvij
\na
\nn\u00d7m
\nMachine Translated by Google
\nA) Assume s = 0.2, A = 2, \u00ff = 0.1 and \u00ff = 0.3. Find the values of c
\nHas the consumption increased or decreased compared to your answer in A)?
\nWhat is, in %, the minimum increase in TFP that will allow consumption per person (a measure of the standard of living)
\nto remain at the level observed in A), despite the drop in the savings rate?
\n(5)
\n(6)
\n4
\n(4)
\nCalculate the new level of consumption per person in the steady state following this drop in the savings rate. Has the
\nconsumption increased or decreased compared to your answer in A)?
\n\u00ff at steady state. and there
\nwt = (1 \u00ff \u00ff) \u00b7 yt
\nwhere s is the constant savings rate, \u00ff is the share of capital in output, A is the level of total factor productivity (TFP)
\nand \u00ff is constant capital depreciation. All variables except the interest rate Rt and the wage wt are expressed relative to
\nthe total population, so for example, ct is the consumption per person in the economy.
\nB) Now assume that A = 3, ie there is a permanent increase in the level of TFP. Calculate the new level of consumption
\nper person at steady state as a result of this increase in TFP.
\nRt = \u00ff \u00b7 A \u00b7 k
\nC) Now assume that A = 2 but s = 0.15, ie there is a permanent decline in the savings rate.
\nyt = ct + it
\nt\u00ff1
\n\u00ff
\n(a\u00ff1)
\nD) Assume again that A = 2 but s = 0.15, ie there is a permanent decline in the savings rate.
\nMachine Translated by Google<\/p>\n","protected":false},"excerpt":{"rendered":"
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